Answer:
2 days
Step-by-step explanation:
Step one:
let the number of days be x
and the total height be y
Plant A is 6 cm tall and growing at a rate of 4 cm per day.
the total height is
y=6+4x------------1
Plant B is 10 cm tall and growing at a rate of 2 cm per day.
y=10+2x-----------2
Required
time taken for both plants to have the same height
Step two:
equate the two equations to find when the plants will have the same height
6+4x=10+2x
collect like terms
4x-2x=10-6
2x= 4
divide both sides by 2
x= 4/2
x= 2 days
A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is 89 . The total cost to rent 2 chairs and 3 tables is 34 . What is the cost to rent each chair and each table?
Answer:
Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together 4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step-by-step explanation:
When a respondent indicates that he is 25 years old when he is actually 35 years old, he is contributing to:
nonresponse error.
response error.
sampling error.
nonsampling error.
Answer:
Response Error
Step-by-step explanation:
Find the values of the variables in the parallelogram.
Step-by-step explanation:
We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°
To find y we know that the sum of interior angles of a triangle is 180°
y+109°+33°=180°
y+142°=180°
y=38°
Now,
x+38°+z=180
33+38+z=180
z=180-71=109°
Active
Multiplying a Binomial by a Binomial
Warm-Up
BRES
Multiply: (3x - 5)(-x+4)
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
1-34
7
Given:
Multiply: [tex](3x-5)(-x+4)[/tex].
To find:
The simplified product in standard form.
Solution:
We have,
[tex](3x-5)(-x+4)[/tex]
Applying the distributive property, the expression becomes
[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]
[tex]=(-3x^2)+12x+5x+(-20)[/tex]
On combining like terms, we get
[tex]=-3x^2+(12x+5x)-20[/tex]
[tex]=-3x^2+17x-20[/tex]
Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].
f) One number is 78 more than
another. If you add 12 to tbe
smaller number, the result is 50.
What is the larger number?
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so
[tex]x+12=50[/tex]
subtract 12 from both sides
[tex]x+12-12=50-12[/tex]
Simplify
[tex]x=38[/tex]
Therefore,
The smaller number = 38The larger number = x+78 = 38+78 = 116Thus, the larger number = 116
Find the slope of the line through each pair of points
(1, -19), (19, -2)
please answer this thank you
Answer:
x = 0,-1,-2,1,2
y = -3,-5,-7,-1,1
(0,-3)
(-1,-5)
(-2,-7)
(1,-1)
(2,1)
Step-by-step explanation:
y = 2x - 3
x = 0,-1,-2,1,2
y = ?,?,?,?,?
x = 0
y = 2x - 3
y = 2(0) - 3
y = 0 - 3
y = -3
x = -1
y = 2x - 3
y = 2(-1) - 3
y = -2 - 3
y = -5
x = -2
y = 2x - 3
y = 2(-2) - 3
y = -4 - 3
y = -7
x = 1
y = 2x - 3
y = 2(1) - 3
y = 2 - 3
y = -1
x = 2
y = 2x - 3
y = 2(2) - 3
y = 4 - 3
y = 1
Check:
x = 0,-1,-2,1,2
y = -3,-5,-7,-1,1
(0,-3)
(-1,-5)
(-2,-7)
(1,-1)
(2,1)
Help please . I need to show full work to the teacher .
Solve for unknown variable
Answer:
b: 110.43
a:90.34
h:89.99
Step-by-step explanation:
check my image
I dont know to put for the boxes. When I work the math out I get 5.4 more gallons but I'm confused on what to put for the other boxes
Step-by-step explanation:
One possible solution would be p being the total gallons of paint needed to buy, 250 in the first box (because 250 square feet per gallon), 250 in the second box (because you have 1 gallon = 250 sq. feet leftover) = 1600 (total)
The sum of seven and the quotient of a number x and 8
Answer:
The answer is 0.875.
Step-by-step explanation:
7 / 8 = 0.875.
0.875 x 8 = 7. (To check answer)
10.) Is the table below linear or nonlinear?
Answer:
The table is not a straight line.
Step-by-step explanation:
it is curved
hi hi hihiihihihihihihihihiih
mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?
Answer:
20,since each kilo of rice fills two bags so he i'll have 40 bags.
Armando is baking 36 batches of brownies for the bake sale. Each batch of
browries takes 1 1/15
cups of flour. What is a reasonable estimate of the
amount of flour that he will need to bake all thirty-six batches of brownies?
A.18
B.36
C.39
D.72
Answer:
apple
Step-by-step explanation:
Find the missing angles.
Answer:
a=30 b=30 c= 75
Step-by-step explanation:
By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.
Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.
So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180
Subtract 30 from both sides and you are left with:
2c = 150
Divide by 2 on each side:
c= 75
the food pantry distribution 10 oz bags of rice if 3 5 lb bags are donated to the pantry how many 10 ounce bags can be made
Answer:
24 bags can be made from three 5 pounds bags.
Step-by-step explanation:
Given that:
Three 5 pound bags are donated.
Total weight of bags = 3*5 = 15 pounds
We know that:
1 pound = 16 ounces
15 pounds = 16*15 = 240 ounces
A bag weighs 10 ounces.
Number of bags = [tex]\frac{240}{10}[/tex]
Number of bags = 24 bags
Hence,
24 bags can be made from three 5 pounds bags.
If AX:XB as AB:AC, find missing length
AX = 5, CB = 4, AC =6, find AB
Answer:
AB = 15 ÷ 2
Step-by-step explanation:
The computation of the AB is shown below;
Given that
AX : XB as AB : AC
AX = 5
XB = 4
AC = 6
AB = x
Based on the above information
We can write as
5 : 4 as to x : 6
ratios can be written as fractions
5 ÷ 4 = x ÷ 6
(4)(x) = (5)(6)
4x = 30
x = 30 ÷ 4
x = 15 ÷ 2
Hence, the AB = 15 ÷ 2
To amend the US Constitution 3/4 of the 50 states must approve an amendment if 35 States approve an amendment will the constitution be amended
Answer:
No
Step-by-step explanation:
3/4 of 50 is 37.5, so 35 states will not be enough
42 3/19 times 513 3/6
Answer:
21648
3
38
Step-by-step explanation:
(42
3
19
)(513
3
6
)
=
801
19
(513
3
6
)
=
801
19
(513
1
2
)
=
801
19
(10272)
=
822627
38
=21648
3
38
If the 8 men on a construction crew make up 40% of the entire crew, how many people are in
the crew?
Answer:
20
Step-by-step explanation:
Since 40% of the crew are men, which means n.40=8 n=8/.40 n=20 total number of crew 20 - 8=12 are women.
The number of people in the crew is 20.
Let the number of people in the crew be represented by x.
Therefore, 40% of x will be 8. This can then be written as:
40% of x = 8
40/100 × x = 8
0.4 × x = 8
0.4x = 8
Divide both side by 0.4
0.4x/0.4 = 8/0.4
x = 20
Therefore, the number of people in the crew is 20.
Read related link on:
https://brainly.com/question/20869258
A plane travels 342 miles in 6 hours. At a constant rate how many miles did the plane travel in 1 hour?
Answer:
57 miles
Step-by-step explanation:
342÷6= 57
I hope this helped you out, if it did please mark my answer as brainliest. I will be so grateful.
What is the complex conjugate?
Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.
Step-by-step explanation:
Answer:
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude, but opposite in sign.
Step-by-step explanation:
Find the zeros of y = x2 – 6x – 4 by completing the square.
Answer:
The solutions to the quadratic equations are:
[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:-\:6x\:-\:4[/tex]
substitute y = 0 in the equation to determine the zeros
[tex]0\:=\:x^2\:-\:6x\:-\:4[/tex]
Switch sides
[tex]x^2-6x-4=0[/tex]
Add 4 to both sides
[tex]x^2-6x-4+4=0+4[/tex]
Simplify
[tex]x^2-6x=4[/tex]
Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides
[tex]x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2[/tex]
[tex]x^2-6x+\left(-3\right)^2=13[/tex]
Apply perfect square formula: (a-b)² = a²-2ab+b²
[tex]\left(x-3\right)^2=13[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solve
[tex]x-3=\sqrt{13}[/tex]
Add 3 to both sides
[tex]x-3+3=\sqrt{13}+3[/tex]
Simplify
[tex]x=\sqrt{13}+3[/tex]
now solving
[tex]x-3=-\sqrt{13}[/tex]
Add 3 to both sides
[tex]x-3+3=-\sqrt{13}+3[/tex]
Simplify
[tex]x=-\sqrt{13}+3[/tex]
Thus, the solutions to the quadratic equations are:
[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]
due today Solve the equation.
17n=−4 what does n equal
Answer:
17n=-4 ÷17
n=-0.235
Step-by-step explanation:
prove me wrong
What is the slope of the line that passes the points (6,-10) and (3,-13) write your answer in the simplest form
Answer:
1
Step-by-step explanation:
Please help me with this question
Answer:
The answer would be C
Step-by-step explanation:
The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.
Answer:
c
Step-by-step explanation:
I just know because I worked it out on paper
A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second? Round your answer to the nearest hundredth.
Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.
Answer:
The answer is 52.36
Step-by-step explanation:
got it right on edge ;)
The sum of three angle measures in a triangle is always 180°.
Answer:
YES IT IS RIGHT.......!
what is 12+6x>99 help plz asaaap
Answer:
[tex] \frac{29}{2} [/tex]
Which expressions have a value of 16/81? Check all that apply.
Answer:
2) 4/9
Step-by-step explanation:
well when you simplify you will get this awnser.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }[/tex]
[tex]\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]
[tex]\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]
[tex]\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}[/tex]
[tex]\large\text{Option B. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}[/tex]
[tex]\large\text{Option C. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]
[tex]\large\text{Option D. could POSSIBLY be your ANSWER}[/tex]
[tex]\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}[/tex]
[tex]\large\text{Option E. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
if h(x)= 1-7x find the value of h(-7)